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Finding the Fourth Proportional to 19,483.16, 29,210.34 and 7,787.48

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Solution

The fourth proportional to 19,483.16, 29,210.34 and 7,787.48 is: 11,675.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,483.16 : 29,210.34 = 7,787.48 : x
  2. Step 2: Convert to fraction form
    19,483.16/29,210.34 = 7,787.48/x
  3. Step 3: Cross multiply
    19,483.16x = 29,210.34 × 7,787.48
  4. Step 4: Simplify right side
    19,483.16x = 227,474,938.54
  5. Step 5: Solve for x
    x = 227,474,938.54/19,483.16
  6. Step 6: Final answer
    x = 11,675.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.